Stable ergodicity for partially hyperbolic attractors with negative central exponents

Keith Burns; Dmitry Dolgopyat; Yakov Pesin; Mark Pollicott

doi:10.3934/jmd.2008.2.63

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2008, Volume 2, Issue 1: 63-81. Doi: 10.3934/jmd.2008.2.63

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Stable ergodicity for partially hyperbolic attractors with negative central exponents

1.
Department of Mathematics, Northwestern University, Evanston, IL 60208-2730
2.
Department of Mathematics University of Maryland, College Park MD 21742
3.
Department of Mathematics, McAllister Building, Pennsylvania State University, University Park, PA 16802
4.
Department of Mathematics, Warwick University, Coventry CV4 7AL

Received: April 30, 2007

Revised: August 31, 2007

Published: September 2007

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Abstract

We establish stable ergodicity of diffeomorphisms with partially hyperbolic attractors whose Lyapunov exponents along the central direction are all negative with respect to invariant SRB-measures.

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Mathematics Subject Classification: Primary: 58F09.

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